메뉴 건너뛰기




Volumn 59, Issue 1-2, 2010, Pages 289-296

Nonlinear active observer-based generalized synchronization in time-delayed systems

Author keywords

Active control; Generalized synchronization; Krasovskii Lyapunov theory; Modulated delay time; Nonlinear observer

Indexed keywords

ACTIVE CONTROL; GENERALIZED SYNCHRONIZATION; KRASOVSKII-LYAPUNOV THEORY; MODULATED DELAY TIME; NON-LINEAR OBSERVER;

EID: 77949422844     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-009-9538-4     Document Type: Article
Times cited : (11)

References (42)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821-824 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 3
    • 0000376090 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillations in terms of periodic orbits
    • Special issue on chaos synchronization
    • Pikovsky, A., Rosenblum, M., Kurths, J.: Phase synchronization of chaotic oscillations in terms of periodic orbits. Chaos 7(4), 680-687 (1997). Special issue on chaos synchronization
    • (1997) Chaos , vol.7 , Issue.4 , pp. 680-687
    • Pikovsky, A.1    Rosenblum, M.2    Kurths, J.3
  • 5
    • 0003736798 scopus 로고    scopus 로고
    • Schuster, H.G. (ed.): Wiley, Weinheim
    • Schuster, H.G. (ed.): Handbook of Chaos Control. Wiley, Weinheim (1999)
    • (1999) Handbook of Chaos Control
  • 6
    • 0002256723 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems
    • Fujisaka, H., Yamada, T.: Stability theory of synchronized motion in coupled-oscillator systems. Prog. Theor. Phys. 69, 32-47 (1983)
    • (1983) Prog. Theor. Phys. , vol.69 , pp. 32-47
    • Fujisaka, H.1    Yamada, T.2
  • 8
    • 0001216578 scopus 로고    scopus 로고
    • Phase characterization of chaos
    • Yalcinkaya, T., Lai, Y.C.: Phase characterization of chaos. Phys. Rev. Lett. 79, 3885-3888 (1997)
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3885-3888
    • Yalcinkaya, T.1    Lai, Y.C.2
  • 10
    • 41349085135 scopus 로고    scopus 로고
    • Transition from intermittency to periodicity in lag synchronization in coupled Rössler oscillators
    • Zhan, M., Wei, G.W., Lai, C.H.: Transition from intermittency to periodicity in lag synchronization in coupled Rössler oscillators. Phys. Rev. E 65, 036202 (2002)
    • (2002) Phys. Rev. E , vol.65 , pp. 036202
    • Zhan, M.1    Wei, G.W.2    Lai, C.H.3
  • 11
    • 39249084516 scopus 로고    scopus 로고
    • Dynamic long-term anticipation of chaotic states
    • Voss, H.U.: Dynamic long-term anticipation of chaotic states. Phys. Rev. Lett. 87, 014102 (2001)
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 014102
    • Voss, H.U.1
  • 12
    • 33744833457 scopus 로고
    • Generalized synchronization of chaos in directionally coupled chaotic systems
    • Rulkov, N.F., Suschik, M.M., Tsimring, L.S., Abarbanel, H.D.I.: Generalized synchronization of chaos in directionally coupled chaotic systems. Phys. Rev. E 51, 980-994 (1995)
    • (1995) Phys. Rev. E , vol.51 , pp. 980-994
    • Rulkov, N.F.1    Suschik, M.M.2    Tsimring, L.S.3    Abarbanel, H.D.I.4
  • 13
    • 0000929946 scopus 로고    scopus 로고
    • Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems
    • Kocarev, L., Parlitz, U.: Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. Phys. Rev. Lett. 76, 1816-1819 (1996)
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1816-1819
    • Kocarev, L.1    Parlitz, U.2
  • 14
    • 47749130018 scopus 로고    scopus 로고
    • Multiplexing synchronization and its applications in cryptography
    • Banerjee, S., Ghosh, D., Roy Chowdhury, A.: Multiplexing synchronization and its applications in cryptography. Phys. Scr. 78, 015010 (2008)
    • (2008) Phys. Scr. , vol.78 , pp. 015010
    • Banerjee, S.1    Ghosh, D.2    Roy Chowdhury, A.3
  • 15
    • 0000388249 scopus 로고    scopus 로고
    • Generalized synchronization of chaos: The auxiliary system approach
    • Abarbanel, H.D.I., Rulkov, N.F., Suschik, M.M.: Generalized synchronization of chaos: The auxiliary system approach. Phys. Rev. E 53, 4528-4535 (1996)
    • (1996) Phys. Rev. E , vol.53 , pp. 4528-4535
    • Abarbanel, H.D.I.1    Rulkov, N.F.2    Suschik, M.M.3
  • 16
    • 0000686115 scopus 로고
    • Statistics for mathematical properties of maps between time series embeddings
    • Pecora, L.M., Carroll, T.L., Heagy, J.F.: Statistics for mathematical properties of maps between time series embeddings. Phys. Rev. E 52, 3420-3439 (1995)
    • (1995) Phys. Rev. E , vol.52 , pp. 3420-3439
    • Pecora, L.M.1    Carroll, T.L.2    Heagy, J.F.3
  • 17
    • 46449103056 scopus 로고    scopus 로고
    • Generalized synchronization via nonlinear control
    • Juan, M., Xingyuan, W.: Generalized synchronization via nonlinear control. Chaos 18, 023108 (2008)
    • (2008) Chaos , vol.18 , pp. 023108
    • Juan, M.1    Xingyuan, W.2
  • 18
    • 27944442884 scopus 로고    scopus 로고
    • Generalized synchronization: A modified system approach
    • Hramov, E., Koronovskii, A.A.: Generalized synchronization: A modified system approach. Phys. Rev. E 71, 067201 (2005)
    • (2005) Phys. Rev. E , vol.71 , pp. 067201
    • Hramov, E.1    Koronovskii, A.A.2
  • 19
    • 0032622603 scopus 로고    scopus 로고
    • Generalized synchronization of chaos via linear transforms
    • Yang, T., Chua, L.O.: Generalized synchronization of chaos via linear transforms. Int. J. Bifurc. Chaos Appl. Sci. Eng. 9, 215-219 (1999)
    • (1999) Int. J. Bifurc. Chaos Appl. Sci. Eng. , vol.9 , pp. 215-219
    • Yang, T.1    Chua, L.O.2
  • 23
    • 0000768778 scopus 로고    scopus 로고
    • Recovery of the time-evolution equation of time-delay systems from time series
    • Bunner, M.J., Meyer, Th., Kittel, A., Parisi, J.: Recovery of the time-evolution equation of time-delay systems from time series. Phys. Rev. E 56, 5083-5089 (1997)
    • (1997) Phys. Rev. E , vol.56 , pp. 5083-5089
    • Bunner, M.J.1    Meyer, Th.2    Kittel, A.3    Parisi, J.4
  • 24
    • 41349113980 scopus 로고    scopus 로고
    • Extracting information masked by the chaotic signal of a time-delay system
    • Ponomarenko, V.I., Prokhorov, M.D.: Extracting information masked by the chaotic signal of a time-delay system. Phys. Rev. E 66, 026215 (2002)
    • (2002) Phys. Rev. E , vol.66 , pp. 026215
    • Ponomarenko, V.I.1    Prokhorov, M.D.2
  • 25
    • 4243740024 scopus 로고    scopus 로고
    • Extracting messages masked by chaotic signals of time-delay systems
    • Zhou, C., Lai, C.-H.: Extracting messages masked by chaotic signals of time-delay systems. Phys. Rev. E 60, 320-323 (1999)
    • (1999) Phys. Rev. E , vol.60 , pp. 320-323
    • Zhou, C.1    Lai, C.-H.2
  • 26
    • 0001161152 scopus 로고    scopus 로고
    • Unmasking a hyperchaotic communication scheme
    • Short, K.M., Parker, A.T.: Unmasking a hyperchaotic communication scheme. Phys. Rev. E 58, 1159-1162 (1998)
    • (1998) Phys. Rev. E , vol.58 , pp. 1159-1162
    • Short, K.M.1    Parker, A.T.2
  • 27
    • 57049094318 scopus 로고    scopus 로고
    • Adaptive scheme for synchronizationbased multiparameter estimation form a single chaotic time series and its applications
    • Ghosh, D., Banerjee, S.: Adaptive scheme for synchronizationbased multiparameter estimation form a single chaotic time series and its applications. Phys. Rev. E 78, 056211 (2008)
    • (2008) Phys. Rev. E , vol.78 , pp. 056211
    • Ghosh, D.1    Banerjee, S.2
  • 28
    • 79051471397 scopus 로고    scopus 로고
    • Nonlinear observer-based synchronization scheme for multiparameter estimation
    • Ghosh, D.: Nonlinear observer-based synchronization scheme for multiparameter estimation. Europhys. Lett. 84, 40012 (2008)
    • (2008) Europhys. Lett. , vol.84 , pp. 40012
    • Ghosh, D.1
  • 29
    • 0031258548 scopus 로고    scopus 로고
    • Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal
    • Grassi, G., Mascolo, S.: Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal. IEEE Trans. Circ. Syst. 1: Fundam. Theory Appl. 44, 1011 (1997)
    • (1997) IEEE Trans. Circ. Syst. 1: Fundam. Theory Appl , Issue.44 , pp. 1011
    • Grassi, G.1    Mascolo, S.2
  • 30
    • 37649028008 scopus 로고    scopus 로고
    • Generalized synchronization in time-delayed systems
    • Shahverdiev, E.M., Shore, K.A.: Generalized synchronization in time-delayed systems. Phys. Rev. E 71, 016201 (2005)
    • (2005) Phys. Rev. E , vol.71 , pp. 016201
    • Shahverdiev, E.M.1    Shore, K.A.2
  • 31
    • 0242411812 scopus 로고    scopus 로고
    • Complete synchronization and generalized synchronization of one-way coupled time-delay systems
    • Zhan, M., Wang, X., Gong, X., Wei, G.W., Lai, C.-H.: Complete synchronization and generalized synchronization of one-way coupled time-delay systems. Phys. Rev. E 68, 036208 (2003)
    • (2003) Phys. Rev. E , vol.68 , pp. 036208
    • Zhan, M.1    Wang, X.2    Gong, X.3    Wei, G.W.4    Lai, C.-H.5
  • 33
    • 35949025187 scopus 로고
    • Optical turbulence: Chaotic behavior of transmitted light from a ring cavity
    • Ikeda, K., Daido, H., Akimoto, O.: Optical turbulence: Chaotic behavior of transmitted light from a ring cavity. Phys. Rev. Lett. 45, 709-712 (1980)
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 709-712
    • Ikeda, K.1    Daido, H.2    Akimoto, O.3
  • 34
    • 33646268062 scopus 로고
    • Successive higherharmonic bifurcations in systems with delayed feedback
    • Ikeda, K., Kondo, K., Akimoto, O.: Successive higherharmonic bifurcations in systems with delayed feedback. Phys. Rev. Lett. 49, 1467-1470 (1982)
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1467-1470
    • Ikeda, K.1    Kondo, K.2    Akimoto, O.3
  • 35
    • 0032025494 scopus 로고    scopus 로고
    • Chaos in wavelength with a feedback tunable laser diode
    • Goedgebuer, J.P., Larger, L., Porte, H.: Chaos in wavelength with a feedback tunable laser diode. Phys. Rev. E 57, 2795-2798 (1998)
    • (1998) Phys. Rev. E , vol.57 , pp. 2795-2798
    • Goedgebuer, J.P.1    Larger, L.2    Porte, H.3
  • 36
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • Mackey, M.C., Glass, L.: Oscillation and chaos in physiological control systems. Science 197, 287-289 (1977)
    • (1977) Science , vol.197 , pp. 287-289
    • MacKey, M.C.1    Glass, L.2
  • 37
    • 79051469732 scopus 로고    scopus 로고
    • Synchronization between variable time-delayed systems and cryptography
    • Ghosh, D., Banerjee, S., Roy Chowdhury, A.: Synchronization between variable time-delayed systems and cryptography. Europhys. Lett. 80, 30006 (2007)
    • (2007) Europhys. Lett. , vol.80 , pp. 30006
    • Ghosh, D.1    Banerjee, S.2    Roy Chowdhury, A.3
  • 38
    • 79051471376 scopus 로고    scopus 로고
    • Synchronization between two different time-delayed systems and image encryption
    • Banerjee, S., Ghosh, D., Ray, A., Roy Chowdhury, A.: Synchronization between two different time-delayed systems and image encryption. Europhys. Lett. 81, 20006 (2008)
    • (2008) Europhys. Lett. , vol.81 , pp. 20006
    • Banerjee, S.1    Ghosh, D.2    Ray, A.3    Roy Chowdhury, A.4
  • 39
    • 63849260794 scopus 로고    scopus 로고
    • Generalized projective synchronization in timedelayed systems: Nonlinear observer approach
    • Ghosh, D.: Generalized projective synchronization in timedelayed systems: Nonlinear observer approach. Chaos 19, 013102 (2009)
    • (2009) Chaos , vol.19 , pp. 013102
    • Ghosh, D.1
  • 41
    • 0000833993 scopus 로고    scopus 로고
    • Synchronization of coupled time-delay systems: Analytical estimations
    • Pyragas, K.: Synchronization of coupled time-delay systems: Analytical estimations. Phys. Rev. E 58, 3067-3071 (1998)
    • (1998) Phys. Rev. E , vol.58 , pp. 3067-3071
    • Pyragas, K.1
  • 42
    • 0037332886 scopus 로고    scopus 로고
    • On the chaotic behaviour of a prototype delayed dynamical system
    • Ucar, A.: On the chaotic behaviour of a prototype delayed dynamical system. Chaos Solitons Fractals 16, 187-194 (2003)
    • (2003) Chaos Solitons Fractals , vol.16 , pp. 187-194
    • Ucar, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.